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Simplifying 2p + 4(p + -3) = 5p + -1 Reorder the terms: 2p + 4(-3 + p) = 5p + -1 2p + (-3 * 4 + p * 4) = 5p + -1 2p + (-12 + 4p) = 5p + -1 Reorder the terms: -12 + 2p + 4p = 5p + -1 Combine like terms: 2p + 4p = 6p -12 + 6p = 5p + -1 Reorder the terms: -12 + 6p = -1 + 5p Solving -12 + 6p = -1 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + 6p + -5p = -1 + 5p + -5p Combine like terms: 6p + -5p = 1p -12 + 1p = -1 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 1p = -1 + 0 -12 + 1p = -1 Add '12' to each side of the equation. -12 + 12 + 1p = -1 + 12 Combine like terms: -12 + 12 = 0 0 + 1p = -1 + 12 1p = -1 + 12 Combine like terms: -1 + 12 = 11 1p = 11 Divide each side by '1'. p = 11 Simplifying p = 11
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