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Simplifying -1.5(p + 2) = 0.16(p + 6) Reorder the terms: -1.5(2 + p) = 0.16(p + 6) (2 * -1.5 + p * -1.5) = 0.16(p + 6) (-3 + -1.5p) = 0.16(p + 6) Reorder the terms: -3 + -1.5p = 0.16(6 + p) -3 + -1.5p = (6 * 0.16 + p * 0.16) -3 + -1.5p = (0.96 + 0.16p) Solving -3 + -1.5p = 0.96 + 0.16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.16p' to each side of the equation. -3 + -1.5p + -0.16p = 0.96 + 0.16p + -0.16p Combine like terms: -1.5p + -0.16p = -1.66p -3 + -1.66p = 0.96 + 0.16p + -0.16p Combine like terms: 0.16p + -0.16p = 0.00 -3 + -1.66p = 0.96 + 0.00 -3 + -1.66p = 0.96 Add '3' to each side of the equation. -3 + 3 + -1.66p = 0.96 + 3 Combine like terms: -3 + 3 = 0 0 + -1.66p = 0.96 + 3 -1.66p = 0.96 + 3 Combine like terms: 0.96 + 3 = 3.96 -1.66p = 3.96 Divide each side by '-1.66'. p = -2.385542169 Simplifying p = -2.385542169
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