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Simplifying 5h + -7 = 5(h + -2) + r Reorder the terms: -7 + 5h = 5(h + -2) + r Reorder the terms: -7 + 5h = 5(-2 + h) + r -7 + 5h = (-2 * 5 + h * 5) + r -7 + 5h = (-10 + 5h) + r Add '-5h' to each side of the equation. -7 + 5h + -5h = -10 + 5h + -5h + r Combine like terms: 5h + -5h = 0 -7 + 0 = -10 + 5h + -5h + r -7 = -10 + 5h + -5h + r Combine like terms: 5h + -5h = 0 -7 = -10 + 0 + r -7 = -10 + r Solving -7 = -10 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -7 + -1r = -10 + r + -1r Combine like terms: r + -1r = 0 -7 + -1r = -10 + 0 -7 + -1r = -10 Add '7' to each side of the equation. -7 + 7 + -1r = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -1r = -10 + 7 -1r = -10 + 7 Combine like terms: -10 + 7 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3
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