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Simplifying 6p + -20 = 8(3p + -17) Reorder the terms: -20 + 6p = 8(3p + -17) Reorder the terms: -20 + 6p = 8(-17 + 3p) -20 + 6p = (-17 * 8 + 3p * 8) -20 + 6p = (-136 + 24p) Solving -20 + 6p = -136 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -20 + 6p + -24p = -136 + 24p + -24p Combine like terms: 6p + -24p = -18p -20 + -18p = -136 + 24p + -24p Combine like terms: 24p + -24p = 0 -20 + -18p = -136 + 0 -20 + -18p = -136 Add '20' to each side of the equation. -20 + 20 + -18p = -136 + 20 Combine like terms: -20 + 20 = 0 0 + -18p = -136 + 20 -18p = -136 + 20 Combine like terms: -136 + 20 = -116 -18p = -116 Divide each side by '-18'. p = 6.444444444 Simplifying p = 6.444444444
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