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Simplifying 6(t + -3) = 2t + 10 Reorder the terms: 6(-3 + t) = 2t + 10 (-3 * 6 + t * 6) = 2t + 10 (-18 + 6t) = 2t + 10 Reorder the terms: -18 + 6t = 10 + 2t Solving -18 + 6t = 10 + 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. -18 + 6t + -2t = 10 + 2t + -2t Combine like terms: 6t + -2t = 4t -18 + 4t = 10 + 2t + -2t Combine like terms: 2t + -2t = 0 -18 + 4t = 10 + 0 -18 + 4t = 10 Add '18' to each side of the equation. -18 + 18 + 4t = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 4t = 10 + 18 4t = 10 + 18 Combine like terms: 10 + 18 = 28 4t = 28 Divide each side by '4'. t = 7 Simplifying t = 7
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