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Simplifying 6 + 4(r + -2) = r + 7 Reorder the terms: 6 + 4(-2 + r) = r + 7 6 + (-2 * 4 + r * 4) = r + 7 6 + (-8 + 4r) = r + 7 Combine like terms: 6 + -8 = -2 -2 + 4r = r + 7 Reorder the terms: -2 + 4r = 7 + r Solving -2 + 4r = 7 + 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 = 7 + r + -1r Combine like terms: 4r + -1r = 3r -2 + 3r = 7 + r + -1r Combine like terms: r + -1r = 0 -2 + 3r = 7 + 0 -2 + 3r = 7 Add '2' to each side of the equation. -2 + 2 + 3r = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 3r = 7 + 2 3r = 7 + 2 Combine like terms: 7 + 2 = 9 3r = 9 Divide each side by '3'. r = 3 Simplifying r = 3
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