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Simplifying 0.4(15p + -20) = 8p + 3(p + -6) Reorder the terms: 0.4(-20 + 15p) = 8p + 3(p + -6) (-20 * 0.4 + 15p * 0.4) = 8p + 3(p + -6) (-8 + 6p) = 8p + 3(p + -6) Reorder the terms: -8 + 6p = 8p + 3(-6 + p) -8 + 6p = 8p + (-6 * 3 + p * 3) -8 + 6p = 8p + (-18 + 3p) Reorder the terms: -8 + 6p = -18 + 8p + 3p Combine like terms: 8p + 3p = 11p -8 + 6p = -18 + 11p Solving -8 + 6p = -18 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. -8 + 6p + -11p = -18 + 11p + -11p Combine like terms: 6p + -11p = -5p -8 + -5p = -18 + 11p + -11p Combine like terms: 11p + -11p = 0 -8 + -5p = -18 + 0 -8 + -5p = -18 Add '8' to each side of the equation. -8 + 8 + -5p = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -5p = -18 + 8 -5p = -18 + 8 Combine like terms: -18 + 8 = -10 -5p = -10 Divide each side by '-5'. p = 2 Simplifying p = 2
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