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Simplifying 5(p + -6) + -2(6 + -5p) = 23 + -7(2p) Reorder the terms: 5(-6 + p) + -2(6 + -5p) = 23 + -7(2p) (-6 * 5 + p * 5) + -2(6 + -5p) = 23 + -7(2p) (-30 + 5p) + -2(6 + -5p) = 23 + -7(2p) -30 + 5p + (6 * -2 + -5p * -2) = 23 + -7(2p) -30 + 5p + (-12 + 10p) = 23 + -7(2p) Reorder the terms: -30 + -12 + 5p + 10p = 23 + -7(2p) Combine like terms: -30 + -12 = -42 -42 + 5p + 10p = 23 + -7(2p) Combine like terms: 5p + 10p = 15p -42 + 15p = 23 + -7(2p) Remove parenthesis around (2p) -42 + 15p = 23 + -7 * 2p Multiply -7 * 2 -42 + 15p = 23 + -14p Solving -42 + 15p = 23 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. -42 + 15p + 14p = 23 + -14p + 14p Combine like terms: 15p + 14p = 29p -42 + 29p = 23 + -14p + 14p Combine like terms: -14p + 14p = 0 -42 + 29p = 23 + 0 -42 + 29p = 23 Add '42' to each side of the equation. -42 + 42 + 29p = 23 + 42 Combine like terms: -42 + 42 = 0 0 + 29p = 23 + 42 29p = 23 + 42 Combine like terms: 23 + 42 = 65 29p = 65 Divide each side by '29'. p = 2.24137931 Simplifying p = 2.24137931
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