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Simplifying -10p + -3 = -1 + 2(3p + -9) Reorder the terms: -3 + -10p = -1 + 2(3p + -9) Reorder the terms: -3 + -10p = -1 + 2(-9 + 3p) -3 + -10p = -1 + (-9 * 2 + 3p * 2) -3 + -10p = -1 + (-18 + 6p) Combine like terms: -1 + -18 = -19 -3 + -10p = -19 + 6p Solving -3 + -10p = -19 + 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. -3 + -10p + -6p = -19 + 6p + -6p Combine like terms: -10p + -6p = -16p -3 + -16p = -19 + 6p + -6p Combine like terms: 6p + -6p = 0 -3 + -16p = -19 + 0 -3 + -16p = -19 Add '3' to each side of the equation. -3 + 3 + -16p = -19 + 3 Combine like terms: -3 + 3 = 0 0 + -16p = -19 + 3 -16p = -19 + 3 Combine like terms: -19 + 3 = -16 -16p = -16 Divide each side by '-16'. p = 1 Simplifying p = 1
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