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Simplifying -286 = 8(6m + -5) + -6 Reorder the terms: -286 = 8(-5 + 6m) + -6 -286 = (-5 * 8 + 6m * 8) + -6 -286 = (-40 + 48m) + -6 Reorder the terms: -286 = -40 + -6 + 48m Combine like terms: -40 + -6 = -46 -286 = -46 + 48m Solving -286 = -46 + 48m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48m' to each side of the equation. -286 + -48m = -46 + 48m + -48m Combine like terms: 48m + -48m = 0 -286 + -48m = -46 + 0 -286 + -48m = -46 Add '286' to each side of the equation. -286 + 286 + -48m = -46 + 286 Combine like terms: -286 + 286 = 0 0 + -48m = -46 + 286 -48m = -46 + 286 Combine like terms: -46 + 286 = 240 -48m = 240 Divide each side by '-48'. m = -5 Simplifying m = -5
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