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Simplifying 2[t + -1(4t + 14) + 10] = 2(t + 4) Reorder the terms: 2[t + -1(14 + 4t) + 10] = 2(t + 4) 2[t + (14 * -1 + 4t * -1) + 10] = 2(t + 4) 2[t + (-14 + -4t) + 10] = 2(t + 4) Reorder the terms: 2[-14 + 10 + t + -4t] = 2(t + 4) Combine like terms: -14 + 10 = -4 2[-4 + t + -4t] = 2(t + 4) Combine like terms: t + -4t = -3t 2[-4 + -3t] = 2(t + 4) [-4 * 2 + -3t * 2] = 2(t + 4) [-8 + -6t] = 2(t + 4) Reorder the terms: -8 + -6t = 2(4 + t) -8 + -6t = (4 * 2 + t * 2) -8 + -6t = (8 + 2t) Solving -8 + -6t = 8 + 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 + -6t + -2t = 8 + 2t + -2t Combine like terms: -6t + -2t = -8t -8 + -8t = 8 + 2t + -2t Combine like terms: 2t + -2t = 0 -8 + -8t = 8 + 0 -8 + -8t = 8 Add '8' to each side of the equation. -8 + 8 + -8t = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -8t = 8 + 8 -8t = 8 + 8 Combine like terms: 8 + 8 = 16 -8t = 16 Divide each side by '-8'. t = -2 Simplifying t = -2
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