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Simplifying -154 = -6(-4r + -7) + 4r Reorder the terms: -154 = -6(-7 + -4r) + 4r -154 = (-7 * -6 + -4r * -6) + 4r -154 = (42 + 24r) + 4r Combine like terms: 24r + 4r = 28r -154 = 42 + 28r Solving -154 = 42 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. -154 + -28r = 42 + 28r + -28r Combine like terms: 28r + -28r = 0 -154 + -28r = 42 + 0 -154 + -28r = 42 Add '154' to each side of the equation. -154 + 154 + -28r = 42 + 154 Combine like terms: -154 + 154 = 0 0 + -28r = 42 + 154 -28r = 42 + 154 Combine like terms: 42 + 154 = 196 -28r = 196 Divide each side by '-28'. r = -7 Simplifying r = -7
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