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Simplifying 8b + -18 = -4(b + -7) + 2 Reorder the terms: -18 + 8b = -4(b + -7) + 2 Reorder the terms: -18 + 8b = -4(-7 + b) + 2 -18 + 8b = (-7 * -4 + b * -4) + 2 -18 + 8b = (28 + -4b) + 2 Reorder the terms: -18 + 8b = 28 + 2 + -4b Combine like terms: 28 + 2 = 30 -18 + 8b = 30 + -4b Solving -18 + 8b = 30 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -18 + 8b + 4b = 30 + -4b + 4b Combine like terms: 8b + 4b = 12b -18 + 12b = 30 + -4b + 4b Combine like terms: -4b + 4b = 0 -18 + 12b = 30 + 0 -18 + 12b = 30 Add '18' to each side of the equation. -18 + 18 + 12b = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 12b = 30 + 18 12b = 30 + 18 Combine like terms: 30 + 18 = 48 12b = 48 Divide each side by '12'. b = 4 Simplifying b = 4
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