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Simplifying 5(2x + 3t) + -12 = -6 Reorder the terms: 5(3t + 2x) + -12 = -6 (3t * 5 + 2x * 5) + -12 = -6 (15t + 10x) + -12 = -6 Reorder the terms: -12 + 15t + 10x = -6 Solving -12 + 15t + 10x = -6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 15t + 12 + 10x = -6 + 12 Reorder the terms: -12 + 12 + 15t + 10x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 15t + 10x = -6 + 12 15t + 10x = -6 + 12 Combine like terms: -6 + 12 = 6 15t + 10x = 6 Add '-10x' to each side of the equation. 15t + 10x + -10x = 6 + -10x Combine like terms: 10x + -10x = 0 15t + 0 = 6 + -10x 15t = 6 + -10x Divide each side by '15'. t = 0.4 + -0.6666666667x Simplifying t = 0.4 + -0.6666666667x
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