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Simplifying -7(3p + 2) * 40 = 3(5p + 6) Reorder the terms: -7(2 + 3p) * 40 = 3(5p + 6) Reorder the terms for easier multiplication: -7 * 40(2 + 3p) = 3(5p + 6) Multiply -7 * 40 -280(2 + 3p) = 3(5p + 6) (2 * -280 + 3p * -280) = 3(5p + 6) (-560 + -840p) = 3(5p + 6) Reorder the terms: -560 + -840p = 3(6 + 5p) -560 + -840p = (6 * 3 + 5p * 3) -560 + -840p = (18 + 15p) Solving -560 + -840p = 18 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -560 + -840p + -15p = 18 + 15p + -15p Combine like terms: -840p + -15p = -855p -560 + -855p = 18 + 15p + -15p Combine like terms: 15p + -15p = 0 -560 + -855p = 18 + 0 -560 + -855p = 18 Add '560' to each side of the equation. -560 + 560 + -855p = 18 + 560 Combine like terms: -560 + 560 = 0 0 + -855p = 18 + 560 -855p = 18 + 560 Combine like terms: 18 + 560 = 578 -855p = 578 Divide each side by '-855'. p = -0.6760233918 Simplifying p = -0.6760233918
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