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Simplifying (4r * 4r) + 48 = 4r + 24 + (4r * 4r) + -8r Reorder the terms for easier multiplication: (4 * 4r * r) + 48 = 4r + 24 + (4r * 4r) + -8r Multiply 4 * 4 (16r * r) + 48 = 4r + 24 + (4r * 4r) + -8r Multiply r * r (16r2) + 48 = 4r + 24 + (4r * 4r) + -8r Reorder the terms: 48 + (16r2) = 4r + 24 + (4r * 4r) + -8r Reorder the terms for easier multiplication: 48 + (16r2) = 4r + 24 + (4 * 4r * r) + -8r Multiply 4 * 4 48 + (16r2) = 4r + 24 + (16r * r) + -8r Multiply r * r 48 + (16r2) = 4r + 24 + (16r2) + -8r Reorder the terms: 48 + (16r2) = 24 + 4r + -8r + (16r2) Combine like terms: 4r + -8r = -4r 48 + (16r2) = 24 + -4r + (16r2) Add '(-16r2)' to each side of the equation. 48 + (16r2) + (-16r2) = 24 + -4r + (16r2) + (-16r2) Combine like terms: (16r2) + (-16r2) = 0 48 + 0 = 24 + -4r + (16r2) + (-16r2) 48 = 24 + -4r + (16r2) + (-16r2) Combine like terms: (16r2) + (-16r2) = 0 48 = 24 + -4r + 0 48 = 24 + -4r Solving 48 = 24 + -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. 48 + 4r = 24 + -4r + 4r Combine like terms: -4r + 4r = 0 48 + 4r = 24 + 0 48 + 4r = 24 Add '-48' to each side of the equation. 48 + -48 + 4r = 24 + -48 Combine like terms: 48 + -48 = 0 0 + 4r = 24 + -48 4r = 24 + -48 Combine like terms: 24 + -48 = -24 4r = -24 Divide each side by '4'. r = -6 Simplifying r = -6
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