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Simplifying 6 + -4(r + 2) = -37 + r Reorder the terms: 6 + -4(2 + r) = -37 + r 6 + (2 * -4 + r * -4) = -37 + r 6 + (-8 + -4r) = -37 + r Combine like terms: 6 + -8 = -2 -2 + -4r = -37 + r Solving -2 + -4r = -37 + 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. -2 + -4r + -1r = -37 + r + -1r Combine like terms: -4r + -1r = -5r -2 + -5r = -37 + r + -1r Combine like terms: r + -1r = 0 -2 + -5r = -37 + 0 -2 + -5r = -37 Add '2' to each side of the equation. -2 + 2 + -5r = -37 + 2 Combine like terms: -2 + 2 = 0 0 + -5r = -37 + 2 -5r = -37 + 2 Combine like terms: -37 + 2 = -35 -5r = -35 Divide each side by '-5'. r = 7 Simplifying r = 7
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