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Simplifying 2p + -19 = 3(p + -4) Reorder the terms: -19 + 2p = 3(p + -4) Reorder the terms: -19 + 2p = 3(-4 + p) -19 + 2p = (-4 * 3 + p * 3) -19 + 2p = (-12 + 3p) Solving -19 + 2p = -12 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -19 + 2p + -3p = -12 + 3p + -3p Combine like terms: 2p + -3p = -1p -19 + -1p = -12 + 3p + -3p Combine like terms: 3p + -3p = 0 -19 + -1p = -12 + 0 -19 + -1p = -12 Add '19' to each side of the equation. -19 + 19 + -1p = -12 + 19 Combine like terms: -19 + 19 = 0 0 + -1p = -12 + 19 -1p = -12 + 19 Combine like terms: -12 + 19 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7
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