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Simplifying 10 + -7(5m + -2) = 10m + 19 Reorder the terms: 10 + -7(-2 + 5m) = 10m + 19 10 + (-2 * -7 + 5m * -7) = 10m + 19 10 + (14 + -35m) = 10m + 19 Combine like terms: 10 + 14 = 24 24 + -35m = 10m + 19 Reorder the terms: 24 + -35m = 19 + 10m Solving 24 + -35m = 19 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 24 + -35m + -10m = 19 + 10m + -10m Combine like terms: -35m + -10m = -45m 24 + -45m = 19 + 10m + -10m Combine like terms: 10m + -10m = 0 24 + -45m = 19 + 0 24 + -45m = 19 Add '-24' to each side of the equation. 24 + -24 + -45m = 19 + -24 Combine like terms: 24 + -24 = 0 0 + -45m = 19 + -24 -45m = 19 + -24 Combine like terms: 19 + -24 = -5 -45m = -5 Divide each side by '-45'. m = 0.1111111111 Simplifying m = 0.1111111111
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