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Simplifying -4(t + 8) + 2(-7t + -6) = -19(t + 3) + 10 Reorder the terms: -4(8 + t) + 2(-7t + -6) = -19(t + 3) + 10 (8 * -4 + t * -4) + 2(-7t + -6) = -19(t + 3) + 10 (-32 + -4t) + 2(-7t + -6) = -19(t + 3) + 10 Reorder the terms: -32 + -4t + 2(-6 + -7t) = -19(t + 3) + 10 -32 + -4t + (-6 * 2 + -7t * 2) = -19(t + 3) + 10 -32 + -4t + (-12 + -14t) = -19(t + 3) + 10 Reorder the terms: -32 + -12 + -4t + -14t = -19(t + 3) + 10 Combine like terms: -32 + -12 = -44 -44 + -4t + -14t = -19(t + 3) + 10 Combine like terms: -4t + -14t = -18t -44 + -18t = -19(t + 3) + 10 Reorder the terms: -44 + -18t = -19(3 + t) + 10 -44 + -18t = (3 * -19 + t * -19) + 10 -44 + -18t = (-57 + -19t) + 10 Reorder the terms: -44 + -18t = -57 + 10 + -19t Combine like terms: -57 + 10 = -47 -44 + -18t = -47 + -19t Solving -44 + -18t = -47 + -19t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '19t' to each side of the equation. -44 + -18t + 19t = -47 + -19t + 19t Combine like terms: -18t + 19t = 1t -44 + 1t = -47 + -19t + 19t Combine like terms: -19t + 19t = 0 -44 + 1t = -47 + 0 -44 + 1t = -47 Add '44' to each side of the equation. -44 + 44 + 1t = -47 + 44 Combine like terms: -44 + 44 = 0 0 + 1t = -47 + 44 1t = -47 + 44 Combine like terms: -47 + 44 = -3 1t = -3 Divide each side by '1'. t = -3 Simplifying t = -3
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