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Simplifying 4(b + -3) + -1b = 7b + 10 Reorder the terms: 4(-3 + b) + -1b = 7b + 10 (-3 * 4 + b * 4) + -1b = 7b + 10 (-12 + 4b) + -1b = 7b + 10 Combine like terms: 4b + -1b = 3b -12 + 3b = 7b + 10 Reorder the terms: -12 + 3b = 10 + 7b Solving -12 + 3b = 10 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -12 + 3b + -7b = 10 + 7b + -7b Combine like terms: 3b + -7b = -4b -12 + -4b = 10 + 7b + -7b Combine like terms: 7b + -7b = 0 -12 + -4b = 10 + 0 -12 + -4b = 10 Add '12' to each side of the equation. -12 + 12 + -4b = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -4b = 10 + 12 -4b = 10 + 12 Combine like terms: 10 + 12 = 22 -4b = 22 Divide each side by '-4'. b = -5.5 Simplifying b = -5.5
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