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Simplifying 0.12(5p + -1) + -1p = 0.15(7 + -2p) Reorder the terms: 0.12(-1 + 5p) + -1p = 0.15(7 + -2p) (-1 * 0.12 + 5p * 0.12) + -1p = 0.15(7 + -2p) (-0.12 + 0.6p) + -1p = 0.15(7 + -2p) Combine like terms: 0.6p + -1p = -0.4p -0.12 + -0.4p = 0.15(7 + -2p) -0.12 + -0.4p = (7 * 0.15 + -2p * 0.15) -0.12 + -0.4p = (1.05 + -0.3p) Solving -0.12 + -0.4p = 1.05 + -0.3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.3p' to each side of the equation. -0.12 + -0.4p + 0.3p = 1.05 + -0.3p + 0.3p Combine like terms: -0.4p + 0.3p = -0.1p -0.12 + -0.1p = 1.05 + -0.3p + 0.3p Combine like terms: -0.3p + 0.3p = 0.0 -0.12 + -0.1p = 1.05 + 0.0 -0.12 + -0.1p = 1.05 Add '0.12' to each side of the equation. -0.12 + 0.12 + -0.1p = 1.05 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + -0.1p = 1.05 + 0.12 -0.1p = 1.05 + 0.12 Combine like terms: 1.05 + 0.12 = 1.17 -0.1p = 1.17 Divide each side by '-0.1'. p = -11.7 Simplifying p = -11.7
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