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