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Simplifying 5(p + -2) = -2(-6p + 8) + -1 Reorder the terms: 5(-2 + p) = -2(-6p + 8) + -1 (-2 * 5 + p * 5) = -2(-6p + 8) + -1 (-10 + 5p) = -2(-6p + 8) + -1 Reorder the terms: -10 + 5p = -2(8 + -6p) + -1 -10 + 5p = (8 * -2 + -6p * -2) + -1 -10 + 5p = (-16 + 12p) + -1 Reorder the terms: -10 + 5p = -16 + -1 + 12p Combine like terms: -16 + -1 = -17 -10 + 5p = -17 + 12p Solving -10 + 5p = -17 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -10 + 5p + -12p = -17 + 12p + -12p Combine like terms: 5p + -12p = -7p -10 + -7p = -17 + 12p + -12p Combine like terms: 12p + -12p = 0 -10 + -7p = -17 + 0 -10 + -7p = -17 Add '10' to each side of the equation. -10 + 10 + -7p = -17 + 10 Combine like terms: -10 + 10 = 0 0 + -7p = -17 + 10 -7p = -17 + 10 Combine like terms: -17 + 10 = -7 -7p = -7 Divide each side by '-7'. p = 1 Simplifying p = 1
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