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Simplifying -4(4p + 4) + -46 = 2(3p + 2) Reorder the terms: -4(4 + 4p) + -46 = 2(3p + 2) (4 * -4 + 4p * -4) + -46 = 2(3p + 2) (-16 + -16p) + -46 = 2(3p + 2) Reorder the terms: -16 + -46 + -16p = 2(3p + 2) Combine like terms: -16 + -46 = -62 -62 + -16p = 2(3p + 2) Reorder the terms: -62 + -16p = 2(2 + 3p) -62 + -16p = (2 * 2 + 3p * 2) -62 + -16p = (4 + 6p) Solving -62 + -16p = 4 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -62 + -16p + -6p = 4 + 6p + -6p Combine like terms: -16p + -6p = -22p -62 + -22p = 4 + 6p + -6p Combine like terms: 6p + -6p = 0 -62 + -22p = 4 + 0 -62 + -22p = 4 Add '62' to each side of the equation. -62 + 62 + -22p = 4 + 62 Combine like terms: -62 + 62 = 0 0 + -22p = 4 + 62 -22p = 4 + 62 Combine like terms: 4 + 62 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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