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Simplifying -8b + -6(7b + -79) = 4(10b + -84) Reorder the terms: -8b + -6(-79 + 7b) = 4(10b + -84) -8b + (-79 * -6 + 7b * -6) = 4(10b + -84) -8b + (474 + -42b) = 4(10b + -84) Reorder the terms: 474 + -8b + -42b = 4(10b + -84) Combine like terms: -8b + -42b = -50b 474 + -50b = 4(10b + -84) Reorder the terms: 474 + -50b = 4(-84 + 10b) 474 + -50b = (-84 * 4 + 10b * 4) 474 + -50b = (-336 + 40b) Solving 474 + -50b = -336 + 40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40b' to each side of the equation. 474 + -50b + -40b = -336 + 40b + -40b Combine like terms: -50b + -40b = -90b 474 + -90b = -336 + 40b + -40b Combine like terms: 40b + -40b = 0 474 + -90b = -336 + 0 474 + -90b = -336 Add '-474' to each side of the equation. 474 + -474 + -90b = -336 + -474 Combine like terms: 474 + -474 = 0 0 + -90b = -336 + -474 -90b = -336 + -474 Combine like terms: -336 + -474 = -810 -90b = -810 Divide each side by '-90'. b = 9 Simplifying b = 9
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