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Simplifying -1t + -20 + -18 = -3(-2t + -20) Reorder the terms: -20 + -18 + -1t = -3(-2t + -20) Combine like terms: -20 + -18 = -38 -38 + -1t = -3(-2t + -20) Reorder the terms: -38 + -1t = -3(-20 + -2t) -38 + -1t = (-20 * -3 + -2t * -3) -38 + -1t = (60 + 6t) Solving -38 + -1t = 60 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -38 + -1t + -6t = 60 + 6t + -6t Combine like terms: -1t + -6t = -7t -38 + -7t = 60 + 6t + -6t Combine like terms: 6t + -6t = 0 -38 + -7t = 60 + 0 -38 + -7t = 60 Add '38' to each side of the equation. -38 + 38 + -7t = 60 + 38 Combine like terms: -38 + 38 = 0 0 + -7t = 60 + 38 -7t = 60 + 38 Combine like terms: 60 + 38 = 98 -7t = 98 Divide each side by '-7'. t = -14 Simplifying t = -14
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