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Simplifying 7p + -3 = 0.75(8p + -12) Reorder the terms: -3 + 7p = 0.75(8p + -12) Reorder the terms: -3 + 7p = 0.75(-12 + 8p) -3 + 7p = (-12 * 0.75 + 8p * 0.75) -3 + 7p = (-9 + 6p) Solving -3 + 7p = -9 + 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 + 7p + -6p = -9 + 6p + -6p Combine like terms: 7p + -6p = 1p -3 + 1p = -9 + 6p + -6p Combine like terms: 6p + -6p = 0 -3 + 1p = -9 + 0 -3 + 1p = -9 Add '3' to each side of the equation. -3 + 3 + 1p = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 1p = -9 + 3 1p = -9 + 3 Combine like terms: -9 + 3 = -6 1p = -6 Divide each side by '1'. p = -6 Simplifying p = -6
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