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Simplifying 6(-12t + 19) + 19t = -20t + -18 Reorder the terms: 6(19 + -12t) + 19t = -20t + -18 (19 * 6 + -12t * 6) + 19t = -20t + -18 (114 + -72t) + 19t = -20t + -18 Combine like terms: -72t + 19t = -53t 114 + -53t = -20t + -18 Reorder the terms: 114 + -53t = -18 + -20t Solving 114 + -53t = -18 + -20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20t' to each side of the equation. 114 + -53t + 20t = -18 + -20t + 20t Combine like terms: -53t + 20t = -33t 114 + -33t = -18 + -20t + 20t Combine like terms: -20t + 20t = 0 114 + -33t = -18 + 0 114 + -33t = -18 Add '-114' to each side of the equation. 114 + -114 + -33t = -18 + -114 Combine like terms: 114 + -114 = 0 0 + -33t = -18 + -114 -33t = -18 + -114 Combine like terms: -18 + -114 = -132 -33t = -132 Divide each side by '-33'. t = 4 Simplifying t = 4
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