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Simplifying 1 + 8p + p + -7 = 4(7 + -8p) + -3(-6p + -4) Reorder the terms: 1 + -7 + 8p + p = 4(7 + -8p) + -3(-6p + -4) Combine like terms: 1 + -7 = -6 -6 + 8p + p = 4(7 + -8p) + -3(-6p + -4) Combine like terms: 8p + p = 9p -6 + 9p = 4(7 + -8p) + -3(-6p + -4) -6 + 9p = (7 * 4 + -8p * 4) + -3(-6p + -4) -6 + 9p = (28 + -32p) + -3(-6p + -4) Reorder the terms: -6 + 9p = 28 + -32p + -3(-4 + -6p) -6 + 9p = 28 + -32p + (-4 * -3 + -6p * -3) -6 + 9p = 28 + -32p + (12 + 18p) Reorder the terms: -6 + 9p = 28 + 12 + -32p + 18p Combine like terms: 28 + 12 = 40 -6 + 9p = 40 + -32p + 18p Combine like terms: -32p + 18p = -14p -6 + 9p = 40 + -14p Solving -6 + 9p = 40 + -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. -6 + 9p + 14p = 40 + -14p + 14p Combine like terms: 9p + 14p = 23p -6 + 23p = 40 + -14p + 14p Combine like terms: -14p + 14p = 0 -6 + 23p = 40 + 0 -6 + 23p = 40 Add '6' to each side of the equation. -6 + 6 + 23p = 40 + 6 Combine like terms: -6 + 6 = 0 0 + 23p = 40 + 6 23p = 40 + 6 Combine like terms: 40 + 6 = 46 23p = 46 Divide each side by '23'. p = 2 Simplifying p = 2
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