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Simplifying 530 = 420 + (420)(r)(4) Reorder the terms for easier multiplication: 530 = 420 + 420 * 4r Multiply 420 * 4 530 = 420 + 1680r Solving 530 = 420 + 1680r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1680r' to each side of the equation. 530 + -1680r = 420 + 1680r + -1680r Combine like terms: 1680r + -1680r = 0 530 + -1680r = 420 + 0 530 + -1680r = 420 Add '-530' to each side of the equation. 530 + -530 + -1680r = 420 + -530 Combine like terms: 530 + -530 = 0 0 + -1680r = 420 + -530 -1680r = 420 + -530 Combine like terms: 420 + -530 = -110 -1680r = -110 Divide each side by '-1680'. r = 0.06547619048 Simplifying r = 0.06547619048
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