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Simplifying 7 = 2[r + 6] + -5 Reorder the terms: 7 = 2[6 + r] + -5 7 = [6 * 2 + r * 2] + -5 7 = [12 + 2r] + -5 Reorder the terms: 7 = 12 + -5 + 2r Combine like terms: 12 + -5 = 7 7 = 7 + 2r Add '-7' to each side of the equation. 7 + -7 = 7 + -7 + 2r Combine like terms: 7 + -7 = 0 0 = 7 + -7 + 2r Combine like terms: 7 + -7 = 0 0 = 0 + 2r 0 = 2r Solving 0 = 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 0 + -2r = 2r + -2r Remove the zero: -2r = 2r + -2r Combine like terms: 2r + -2r = 0 -2r = 0 Divide each side by '-2'. r = 0 Simplifying r = 0
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