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Simplifying 6(t + -2) = (t + 7) Reorder the terms: 6(-2 + t) = (t + 7) (-2 * 6 + t * 6) = (t + 7) (-12 + 6t) = (t + 7) Reorder the terms: -12 + 6t = (7 + t) Remove parenthesis around (7 + t) -12 + 6t = 7 + t Solving -12 + 6t = 7 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -12 + 6t + -1t = 7 + t + -1t Combine like terms: 6t + -1t = 5t -12 + 5t = 7 + t + -1t Combine like terms: t + -1t = 0 -12 + 5t = 7 + 0 -12 + 5t = 7 Add '12' to each side of the equation. -12 + 12 + 5t = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 5t = 7 + 12 5t = 7 + 12 Combine like terms: 7 + 12 = 19 5t = 19 Divide each side by '5'. t = 3.8 Simplifying t = 3.8
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