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Simplifying (9m + -6) + 5(7 + -5p) + -10 = 0 Reorder the terms: (-6 + 9m) + 5(7 + -5p) + -10 = 0 Remove parenthesis around (-6 + 9m) -6 + 9m + 5(7 + -5p) + -10 = 0 -6 + 9m + (7 * 5 + -5p * 5) + -10 = 0 -6 + 9m + (35 + -25p) + -10 = 0 Reorder the terms: -6 + 35 + -10 + 9m + -25p = 0 Combine like terms: -6 + 35 = 29 29 + -10 + 9m + -25p = 0 Combine like terms: 29 + -10 = 19 19 + 9m + -25p = 0 Solving 19 + 9m + -25p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + 9m + -19 + -25p = 0 + -19 Reorder the terms: 19 + -19 + 9m + -25p = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 9m + -25p = 0 + -19 9m + -25p = 0 + -19 Combine like terms: 0 + -19 = -19 9m + -25p = -19 Add '25p' to each side of the equation. 9m + -25p + 25p = -19 + 25p Combine like terms: -25p + 25p = 0 9m + 0 = -19 + 25p 9m = -19 + 25p Divide each side by '9'. m = -2.111111111 + 2.777777778p Simplifying m = -2.111111111 + 2.777777778p
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