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Simplifying 6(t + -12) + -4 = 2t Reorder the terms: 6(-12 + t) + -4 = 2t (-12 * 6 + t * 6) + -4 = 2t (-72 + 6t) + -4 = 2t Reorder the terms: -72 + -4 + 6t = 2t Combine like terms: -72 + -4 = -76 -76 + 6t = 2t Solving -76 + 6t = 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -76 + 6t + -2t = 2t + -2t Combine like terms: 6t + -2t = 4t -76 + 4t = 2t + -2t Combine like terms: 2t + -2t = 0 -76 + 4t = 0 Add '76' to each side of the equation. -76 + 76 + 4t = 0 + 76 Combine like terms: -76 + 76 = 0 0 + 4t = 0 + 76 4t = 0 + 76 Combine like terms: 0 + 76 = 76 4t = 76 Divide each side by '4'. t = 19 Simplifying t = 19
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