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Simplifying 4(2p + -3) + -3(p + 2) = p Reorder the terms: 4(-3 + 2p) + -3(p + 2) = p (-3 * 4 + 2p * 4) + -3(p + 2) = p (-12 + 8p) + -3(p + 2) = p Reorder the terms: -12 + 8p + -3(2 + p) = p -12 + 8p + (2 * -3 + p * -3) = p -12 + 8p + (-6 + -3p) = p Reorder the terms: -12 + -6 + 8p + -3p = p Combine like terms: -12 + -6 = -18 -18 + 8p + -3p = p Combine like terms: 8p + -3p = 5p -18 + 5p = p Solving -18 + 5p = p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -18 + 5p + -1p = p + -1p Combine like terms: 5p + -1p = 4p -18 + 4p = p + -1p Combine like terms: p + -1p = 0 -18 + 4p = 0 Add '18' to each side of the equation. -18 + 18 + 4p = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 4p = 0 + 18 4p = 0 + 18 Combine like terms: 0 + 18 = 18 4p = 18 Divide each side by '4'. p = 4.5 Simplifying p = 4.5
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