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Simplifying -21 + 4r = -7r + 3(-6r + -7) Reorder the terms: -21 + 4r = -7r + 3(-7 + -6r) -21 + 4r = -7r + (-7 * 3 + -6r * 3) -21 + 4r = -7r + (-21 + -18r) Reorder the terms: -21 + 4r = -21 + -7r + -18r Combine like terms: -7r + -18r = -25r -21 + 4r = -21 + -25r Add '21' to each side of the equation. -21 + 21 + 4r = -21 + 21 + -25r Combine like terms: -21 + 21 = 0 0 + 4r = -21 + 21 + -25r 4r = -21 + 21 + -25r Combine like terms: -21 + 21 = 0 4r = 0 + -25r 4r = -25r Solving 4r = -25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '25r' to each side of the equation. 4r + 25r = -25r + 25r Combine like terms: 4r + 25r = 29r 29r = -25r + 25r Combine like terms: -25r + 25r = 0 29r = 0 Divide each side by '29'. r = 0 Simplifying r = 0
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