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Simplifying -143 = 3(-6b + -1) + 4 Reorder the terms: -143 = 3(-1 + -6b) + 4 -143 = (-1 * 3 + -6b * 3) + 4 -143 = (-3 + -18b) + 4 Reorder the terms: -143 = -3 + 4 + -18b Combine like terms: -3 + 4 = 1 -143 = 1 + -18b Solving -143 = 1 + -18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18b' to each side of the equation. -143 + 18b = 1 + -18b + 18b Combine like terms: -18b + 18b = 0 -143 + 18b = 1 + 0 -143 + 18b = 1 Add '143' to each side of the equation. -143 + 143 + 18b = 1 + 143 Combine like terms: -143 + 143 = 0 0 + 18b = 1 + 143 18b = 1 + 143 Combine like terms: 1 + 143 = 144 18b = 144 Divide each side by '18'. b = 8 Simplifying b = 8
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