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Simplifying 6(3p + -2) + -4 = 1 + -2(3p + 1) Reorder the terms: 6(-2 + 3p) + -4 = 1 + -2(3p + 1) (-2 * 6 + 3p * 6) + -4 = 1 + -2(3p + 1) (-12 + 18p) + -4 = 1 + -2(3p + 1) Reorder the terms: -12 + -4 + 18p = 1 + -2(3p + 1) Combine like terms: -12 + -4 = -16 -16 + 18p = 1 + -2(3p + 1) Reorder the terms: -16 + 18p = 1 + -2(1 + 3p) -16 + 18p = 1 + (1 * -2 + 3p * -2) -16 + 18p = 1 + (-2 + -6p) Combine like terms: 1 + -2 = -1 -16 + 18p = -1 + -6p Solving -16 + 18p = -1 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -16 + 18p + 6p = -1 + -6p + 6p Combine like terms: 18p + 6p = 24p -16 + 24p = -1 + -6p + 6p Combine like terms: -6p + 6p = 0 -16 + 24p = -1 + 0 -16 + 24p = -1 Add '16' to each side of the equation. -16 + 16 + 24p = -1 + 16 Combine like terms: -16 + 16 = 0 0 + 24p = -1 + 16 24p = -1 + 16 Combine like terms: -1 + 16 = 15 24p = 15 Divide each side by '24'. p = 0.625 Simplifying p = 0.625
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