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Simplifying -4r + -2(8r + -7) = 114 Reorder the terms: -4r + -2(-7 + 8r) = 114 -4r + (-7 * -2 + 8r * -2) = 114 -4r + (14 + -16r) = 114 Reorder the terms: 14 + -4r + -16r = 114 Combine like terms: -4r + -16r = -20r 14 + -20r = 114 Solving 14 + -20r = 114 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -20r = 114 + -14 Combine like terms: 14 + -14 = 0 0 + -20r = 114 + -14 -20r = 114 + -14 Combine like terms: 114 + -14 = 100 -20r = 100 Divide each side by '-20'. r = -5 Simplifying r = -5
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