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Simplifying -3(10p + -6) = 4(p + -4) Reorder the terms: -3(-6 + 10p) = 4(p + -4) (-6 * -3 + 10p * -3) = 4(p + -4) (18 + -30p) = 4(p + -4) Reorder the terms: 18 + -30p = 4(-4 + p) 18 + -30p = (-4 * 4 + p * 4) 18 + -30p = (-16 + 4p) Solving 18 + -30p = -16 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 18 + -30p + -4p = -16 + 4p + -4p Combine like terms: -30p + -4p = -34p 18 + -34p = -16 + 4p + -4p Combine like terms: 4p + -4p = 0 18 + -34p = -16 + 0 18 + -34p = -16 Add '-18' to each side of the equation. 18 + -18 + -34p = -16 + -18 Combine like terms: 18 + -18 = 0 0 + -34p = -16 + -18 -34p = -16 + -18 Combine like terms: -16 + -18 = -34 -34p = -34 Divide each side by '-34'. p = 1 Simplifying p = 1
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