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Simplifying 4p + -18 = 2(-4 + 3p) + 3p Reorder the terms: -18 + 4p = 2(-4 + 3p) + 3p -18 + 4p = (-4 * 2 + 3p * 2) + 3p -18 + 4p = (-8 + 6p) + 3p Combine like terms: 6p + 3p = 9p -18 + 4p = -8 + 9p Solving -18 + 4p = -8 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -18 + 4p + -9p = -8 + 9p + -9p Combine like terms: 4p + -9p = -5p -18 + -5p = -8 + 9p + -9p Combine like terms: 9p + -9p = 0 -18 + -5p = -8 + 0 -18 + -5p = -8 Add '18' to each side of the equation. -18 + 18 + -5p = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -5p = -8 + 18 -5p = -8 + 18 Combine like terms: -8 + 18 = 10 -5p = 10 Divide each side by '-5'. p = -2 Simplifying p = -2
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