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Simplifying -214 = -2r + -6(6r + 4) Reorder the terms: -214 = -2r + -6(4 + 6r) -214 = -2r + (4 * -6 + 6r * -6) -214 = -2r + (-24 + -36r) Reorder the terms: -214 = -24 + -2r + -36r Combine like terms: -2r + -36r = -38r -214 = -24 + -38r Solving -214 = -24 + -38r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '38r' to each side of the equation. -214 + 38r = -24 + -38r + 38r Combine like terms: -38r + 38r = 0 -214 + 38r = -24 + 0 -214 + 38r = -24 Add '214' to each side of the equation. -214 + 214 + 38r = -24 + 214 Combine like terms: -214 + 214 = 0 0 + 38r = -24 + 214 38r = -24 + 214 Combine like terms: -24 + 214 = 190 38r = 190 Divide each side by '38'. r = 5 Simplifying r = 5
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