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Simplifying 6(p + 19) + -3(2p + 12) = -4p + 4 Reorder the terms: 6(19 + p) + -3(2p + 12) = -4p + 4 (19 * 6 + p * 6) + -3(2p + 12) = -4p + 4 (114 + 6p) + -3(2p + 12) = -4p + 4 Reorder the terms: 114 + 6p + -3(12 + 2p) = -4p + 4 114 + 6p + (12 * -3 + 2p * -3) = -4p + 4 114 + 6p + (-36 + -6p) = -4p + 4 Reorder the terms: 114 + -36 + 6p + -6p = -4p + 4 Combine like terms: 114 + -36 = 78 78 + 6p + -6p = -4p + 4 Combine like terms: 6p + -6p = 0 78 + 0 = -4p + 4 78 = -4p + 4 Reorder the terms: 78 = 4 + -4p Solving 78 = 4 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 78 + 4p = 4 + -4p + 4p Combine like terms: -4p + 4p = 0 78 + 4p = 4 + 0 78 + 4p = 4 Add '-78' to each side of the equation. 78 + -78 + 4p = 4 + -78 Combine like terms: 78 + -78 = 0 0 + 4p = 4 + -78 4p = 4 + -78 Combine like terms: 4 + -78 = -74 4p = -74 Divide each side by '4'. p = -18.5 Simplifying p = -18.5
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