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Simplifying -4(9 + 2r) + -6 = -114 (9 * -4 + 2r * -4) + -6 = -114 (-36 + -8r) + -6 = -114 Reorder the terms: -36 + -6 + -8r = -114 Combine like terms: -36 + -6 = -42 -42 + -8r = -114 Solving -42 + -8r = -114 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -8r = -114 + 42 Combine like terms: -42 + 42 = 0 0 + -8r = -114 + 42 -8r = -114 + 42 Combine like terms: -114 + 42 = -72 -8r = -72 Divide each side by '-8'. r = 9 Simplifying r = 9
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