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Simplifying -4(5p + 3) + -30 = 2(3p + 5) Reorder the terms: -4(3 + 5p) + -30 = 2(3p + 5) (3 * -4 + 5p * -4) + -30 = 2(3p + 5) (-12 + -20p) + -30 = 2(3p + 5) Reorder the terms: -12 + -30 + -20p = 2(3p + 5) Combine like terms: -12 + -30 = -42 -42 + -20p = 2(3p + 5) Reorder the terms: -42 + -20p = 2(5 + 3p) -42 + -20p = (5 * 2 + 3p * 2) -42 + -20p = (10 + 6p) Solving -42 + -20p = 10 + 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. -42 + -20p + -6p = 10 + 6p + -6p Combine like terms: -20p + -6p = -26p -42 + -26p = 10 + 6p + -6p Combine like terms: 6p + -6p = 0 -42 + -26p = 10 + 0 -42 + -26p = 10 Add '42' to each side of the equation. -42 + 42 + -26p = 10 + 42 Combine like terms: -42 + 42 = 0 0 + -26p = 10 + 42 -26p = 10 + 42 Combine like terms: 10 + 42 = 52 -26p = 52 Divide each side by '-26'. p = -2 Simplifying p = -2
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