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Simplifying 189 = -6c + 3(-7x + -18) Reorder the terms: 189 = -6c + 3(-18 + -7x) 189 = -6c + (-18 * 3 + -7x * 3) 189 = -6c + (-54 + -21x) Reorder the terms: 189 = -54 + -6c + -21x Solving 189 = -54 + -6c + -21x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 189 + 6c = -54 + -6c + 6c + -21x Combine like terms: -6c + 6c = 0 189 + 6c = -54 + 0 + -21x 189 + 6c = -54 + -21x Add '-189' to each side of the equation. 189 + -189 + 6c = -54 + -189 + -21x Combine like terms: 189 + -189 = 0 0 + 6c = -54 + -189 + -21x 6c = -54 + -189 + -21x Combine like terms: -54 + -189 = -243 6c = -243 + -21x Divide each side by '6'. c = -40.5 + -3.5x Simplifying c = -40.5 + -3.5x
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