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Simplifying -2(14 + -3p) = 7(p + -10) (14 * -2 + -3p * -2) = 7(p + -10) (-28 + 6p) = 7(p + -10) Reorder the terms: -28 + 6p = 7(-10 + p) -28 + 6p = (-10 * 7 + p * 7) -28 + 6p = (-70 + 7p) Solving -28 + 6p = -70 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -28 + 6p + -7p = -70 + 7p + -7p Combine like terms: 6p + -7p = -1p -28 + -1p = -70 + 7p + -7p Combine like terms: 7p + -7p = 0 -28 + -1p = -70 + 0 -28 + -1p = -70 Add '28' to each side of the equation. -28 + 28 + -1p = -70 + 28 Combine like terms: -28 + 28 = 0 0 + -1p = -70 + 28 -1p = -70 + 28 Combine like terms: -70 + 28 = -42 -1p = -42 Divide each side by '-1'. p = 42 Simplifying p = 42
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