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Simplifying 5(r + -3) + -6 = 4r + -4 Reorder the terms: 5(-3 + r) + -6 = 4r + -4 (-3 * 5 + r * 5) + -6 = 4r + -4 (-15 + 5r) + -6 = 4r + -4 Reorder the terms: -15 + -6 + 5r = 4r + -4 Combine like terms: -15 + -6 = -21 -21 + 5r = 4r + -4 Reorder the terms: -21 + 5r = -4 + 4r Solving -21 + 5r = -4 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -21 + 5r + -4r = -4 + 4r + -4r Combine like terms: 5r + -4r = 1r -21 + 1r = -4 + 4r + -4r Combine like terms: 4r + -4r = 0 -21 + 1r = -4 + 0 -21 + 1r = -4 Add '21' to each side of the equation. -21 + 21 + 1r = -4 + 21 Combine like terms: -21 + 21 = 0 0 + 1r = -4 + 21 1r = -4 + 21 Combine like terms: -4 + 21 = 17 1r = 17 Divide each side by '1'. r = 17 Simplifying r = 17
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