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Simplifying -4p + -3(p + 1) = -10(p + 4) + -11 Reorder the terms: -4p + -3(1 + p) = -10(p + 4) + -11 -4p + (1 * -3 + p * -3) = -10(p + 4) + -11 -4p + (-3 + -3p) = -10(p + 4) + -11 Reorder the terms: -3 + -4p + -3p = -10(p + 4) + -11 Combine like terms: -4p + -3p = -7p -3 + -7p = -10(p + 4) + -11 Reorder the terms: -3 + -7p = -10(4 + p) + -11 -3 + -7p = (4 * -10 + p * -10) + -11 -3 + -7p = (-40 + -10p) + -11 Reorder the terms: -3 + -7p = -40 + -11 + -10p Combine like terms: -40 + -11 = -51 -3 + -7p = -51 + -10p Solving -3 + -7p = -51 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -3 + -7p + 10p = -51 + -10p + 10p Combine like terms: -7p + 10p = 3p -3 + 3p = -51 + -10p + 10p Combine like terms: -10p + 10p = 0 -3 + 3p = -51 + 0 -3 + 3p = -51 Add '3' to each side of the equation. -3 + 3 + 3p = -51 + 3 Combine like terms: -3 + 3 = 0 0 + 3p = -51 + 3 3p = -51 + 3 Combine like terms: -51 + 3 = -48 3p = -48 Divide each side by '3'. p = -16 Simplifying p = -16
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