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Simplifying 21 + -2r = -3r + -5(7r + 3) Reorder the terms: 21 + -2r = -3r + -5(3 + 7r) 21 + -2r = -3r + (3 * -5 + 7r * -5) 21 + -2r = -3r + (-15 + -35r) Reorder the terms: 21 + -2r = -15 + -3r + -35r Combine like terms: -3r + -35r = -38r 21 + -2r = -15 + -38r Solving 21 + -2r = -15 + -38r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '38r' to each side of the equation. 21 + -2r + 38r = -15 + -38r + 38r Combine like terms: -2r + 38r = 36r 21 + 36r = -15 + -38r + 38r Combine like terms: -38r + 38r = 0 21 + 36r = -15 + 0 21 + 36r = -15 Add '-21' to each side of the equation. 21 + -21 + 36r = -15 + -21 Combine like terms: 21 + -21 = 0 0 + 36r = -15 + -21 36r = -15 + -21 Combine like terms: -15 + -21 = -36 36r = -36 Divide each side by '36'. r = -1 Simplifying r = -1
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