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Simplifying -1(-1(-2x)) + -3(-3p + 15) = -1(-4)(p + -12) Remove parenthesis around (-2x) -1(-1 * -2x) + -3(-3p + 15) = -1(-4)(p + -12) Multiply -1 * -2 -1(2x) + -3(-3p + 15) = -1(-4)(p + -12) Remove parenthesis around (2x) -1 * 2x + -3(-3p + 15) = -1(-4)(p + -12) Multiply -1 * 2 -2x + -3(-3p + 15) = -1(-4)(p + -12) Reorder the terms: -2x + -3(15 + -3p) = -1(-4)(p + -12) -2x + (15 * -3 + -3p * -3) = -1(-4)(p + -12) -2x + (-45 + 9p) = -1(-4)(p + -12) Reorder the terms: -45 + 9p + -2x = -1(-4)(p + -12) Reorder the terms: -45 + 9p + -2x = -1 * -4(-12 + p) Multiply -1 * -4 -45 + 9p + -2x = 4(-12 + p) -45 + 9p + -2x = (-12 * 4 + p * 4) -45 + 9p + -2x = (-48 + 4p) Solving -45 + 9p + -2x = -48 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -45 + 9p + -4p + -2x = -48 + 4p + -4p Combine like terms: 9p + -4p = 5p -45 + 5p + -2x = -48 + 4p + -4p Combine like terms: 4p + -4p = 0 -45 + 5p + -2x = -48 + 0 -45 + 5p + -2x = -48 Add '45' to each side of the equation. -45 + 5p + 45 + -2x = -48 + 45 Reorder the terms: -45 + 45 + 5p + -2x = -48 + 45 Combine like terms: -45 + 45 = 0 0 + 5p + -2x = -48 + 45 5p + -2x = -48 + 45 Combine like terms: -48 + 45 = -3 5p + -2x = -3 Add '2x' to each side of the equation. 5p + -2x + 2x = -3 + 2x Combine like terms: -2x + 2x = 0 5p + 0 = -3 + 2x 5p = -3 + 2x Divide each side by '5'. p = -0.6 + 0.4x Simplifying p = -0.6 + 0.4x
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