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Simplifying 4(t + -2) + 4t = (2t + 4) + -10 Reorder the terms: 4(-2 + t) + 4t = (2t + 4) + -10 (-2 * 4 + t * 4) + 4t = (2t + 4) + -10 (-8 + 4t) + 4t = (2t + 4) + -10 Combine like terms: 4t + 4t = 8t -8 + 8t = (2t + 4) + -10 Reorder the terms: -8 + 8t = (4 + 2t) + -10 Remove parenthesis around (4 + 2t) -8 + 8t = 4 + 2t + -10 Reorder the terms: -8 + 8t = 4 + -10 + 2t Combine like terms: 4 + -10 = -6 -8 + 8t = -6 + 2t Solving -8 + 8t = -6 + 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. -8 + 8t + -2t = -6 + 2t + -2t Combine like terms: 8t + -2t = 6t -8 + 6t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 -8 + 6t = -6 + 0 -8 + 6t = -6 Add '8' to each side of the equation. -8 + 8 + 6t = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 6t = -6 + 8 6t = -6 + 8 Combine like terms: -6 + 8 = 2 6t = 2 Divide each side by '6'. t = 0.3333333333 Simplifying t = 0.3333333333
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