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Simplifying -2(16p + 21) + 7(4p + 4) = p + -1(6p + 22) Reorder the terms: -2(21 + 16p) + 7(4p + 4) = p + -1(6p + 22) (21 * -2 + 16p * -2) + 7(4p + 4) = p + -1(6p + 22) (-42 + -32p) + 7(4p + 4) = p + -1(6p + 22) Reorder the terms: -42 + -32p + 7(4 + 4p) = p + -1(6p + 22) -42 + -32p + (4 * 7 + 4p * 7) = p + -1(6p + 22) -42 + -32p + (28 + 28p) = p + -1(6p + 22) Reorder the terms: -42 + 28 + -32p + 28p = p + -1(6p + 22) Combine like terms: -42 + 28 = -14 -14 + -32p + 28p = p + -1(6p + 22) Combine like terms: -32p + 28p = -4p -14 + -4p = p + -1(6p + 22) Reorder the terms: -14 + -4p = p + -1(22 + 6p) -14 + -4p = p + (22 * -1 + 6p * -1) -14 + -4p = p + (-22 + -6p) Reorder the terms: -14 + -4p = -22 + p + -6p Combine like terms: p + -6p = -5p -14 + -4p = -22 + -5p Solving -14 + -4p = -22 + -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. -14 + -4p + 5p = -22 + -5p + 5p Combine like terms: -4p + 5p = 1p -14 + 1p = -22 + -5p + 5p Combine like terms: -5p + 5p = 0 -14 + 1p = -22 + 0 -14 + 1p = -22 Add '14' to each side of the equation. -14 + 14 + 1p = -22 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = -22 + 14 1p = -22 + 14 Combine like terms: -22 + 14 = -8 1p = -8 Divide each side by '1'. p = -8 Simplifying p = -8
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