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Simplifying -58 = 14q + -2(3q + 1) Reorder the terms: -58 = 14q + -2(1 + 3q) -58 = 14q + (1 * -2 + 3q * -2) -58 = 14q + (-2 + -6q) Reorder the terms: -58 = -2 + 14q + -6q Combine like terms: 14q + -6q = 8q -58 = -2 + 8q Solving -58 = -2 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -58 + -8q = -2 + 8q + -8q Combine like terms: 8q + -8q = 0 -58 + -8q = -2 + 0 -58 + -8q = -2 Add '58' to each side of the equation. -58 + 58 + -8q = -2 + 58 Combine like terms: -58 + 58 = 0 0 + -8q = -2 + 58 -8q = -2 + 58 Combine like terms: -2 + 58 = 56 -8q = 56 Divide each side by '-8'. q = -7 Simplifying q = -7
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