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Simplifying 4(-7 + 2r) + -6r = r + -35 (-7 * 4 + 2r * 4) + -6r = r + -35 (-28 + 8r) + -6r = r + -35 Combine like terms: 8r + -6r = 2r -28 + 2r = r + -35 Reorder the terms: -28 + 2r = -35 + r Solving -28 + 2r = -35 + 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. -28 + 2r + -1r = -35 + r + -1r Combine like terms: 2r + -1r = 1r -28 + 1r = -35 + r + -1r Combine like terms: r + -1r = 0 -28 + 1r = -35 + 0 -28 + 1r = -35 Add '28' to each side of the equation. -28 + 28 + 1r = -35 + 28 Combine like terms: -28 + 28 = 0 0 + 1r = -35 + 28 1r = -35 + 28 Combine like terms: -35 + 28 = -7 1r = -7 Divide each side by '1'. r = -7 Simplifying r = -7
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