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Simplifying 8p + -4 = 10(3p + 4) + (7 + -5p) Reorder the terms: -4 + 8p = 10(3p + 4) + (7 + -5p) Reorder the terms: -4 + 8p = 10(4 + 3p) + (7 + -5p) -4 + 8p = (4 * 10 + 3p * 10) + (7 + -5p) -4 + 8p = (40 + 30p) + (7 + -5p) Remove parenthesis around (7 + -5p) -4 + 8p = 40 + 30p + 7 + -5p Reorder the terms: -4 + 8p = 40 + 7 + 30p + -5p Combine like terms: 40 + 7 = 47 -4 + 8p = 47 + 30p + -5p Combine like terms: 30p + -5p = 25p -4 + 8p = 47 + 25p Solving -4 + 8p = 47 + 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. -4 + 8p + -25p = 47 + 25p + -25p Combine like terms: 8p + -25p = -17p -4 + -17p = 47 + 25p + -25p Combine like terms: 25p + -25p = 0 -4 + -17p = 47 + 0 -4 + -17p = 47 Add '4' to each side of the equation. -4 + 4 + -17p = 47 + 4 Combine like terms: -4 + 4 = 0 0 + -17p = 47 + 4 -17p = 47 + 4 Combine like terms: 47 + 4 = 51 -17p = 51 Divide each side by '-17'. p = -3 Simplifying p = -3
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