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Simplifying 21 + 4r = -7 + 4(2r + 1) Reorder the terms: 21 + 4r = -7 + 4(1 + 2r) 21 + 4r = -7 + (1 * 4 + 2r * 4) 21 + 4r = -7 + (4 + 8r) Combine like terms: -7 + 4 = -3 21 + 4r = -3 + 8r Solving 21 + 4r = -3 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 21 + 4r + -8r = -3 + 8r + -8r Combine like terms: 4r + -8r = -4r 21 + -4r = -3 + 8r + -8r Combine like terms: 8r + -8r = 0 21 + -4r = -3 + 0 21 + -4r = -3 Add '-21' to each side of the equation. 21 + -21 + -4r = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -4r = -3 + -21 -4r = -3 + -21 Combine like terms: -3 + -21 = -24 -4r = -24 Divide each side by '-4'. r = 6 Simplifying r = 6
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