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Simplifying 21r + -4(5 + 3r) = 4(r + -7) 21r + (5 * -4 + 3r * -4) = 4(r + -7) 21r + (-20 + -12r) = 4(r + -7) Reorder the terms: -20 + 21r + -12r = 4(r + -7) Combine like terms: 21r + -12r = 9r -20 + 9r = 4(r + -7) Reorder the terms: -20 + 9r = 4(-7 + r) -20 + 9r = (-7 * 4 + r * 4) -20 + 9r = (-28 + 4r) Solving -20 + 9r = -28 + 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. -20 + 9r + -4r = -28 + 4r + -4r Combine like terms: 9r + -4r = 5r -20 + 5r = -28 + 4r + -4r Combine like terms: 4r + -4r = 0 -20 + 5r = -28 + 0 -20 + 5r = -28 Add '20' to each side of the equation. -20 + 20 + 5r = -28 + 20 Combine like terms: -20 + 20 = 0 0 + 5r = -28 + 20 5r = -28 + 20 Combine like terms: -28 + 20 = -8 5r = -8 Divide each side by '5'. r = -1.6 Simplifying r = -1.6
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