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Simplifying -10(t + 5) + 62 = -19 + -19 Reorder the terms: -10(5 + t) + 62 = -19 + -19 (5 * -10 + t * -10) + 62 = -19 + -19 (-50 + -10t) + 62 = -19 + -19 Reorder the terms: -50 + 62 + -10t = -19 + -19 Combine like terms: -50 + 62 = 12 12 + -10t = -19 + -19 Combine like terms: -19 + -19 = -38 12 + -10t = -38 Solving 12 + -10t = -38 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -10t = -38 + -12 Combine like terms: 12 + -12 = 0 0 + -10t = -38 + -12 -10t = -38 + -12 Combine like terms: -38 + -12 = -50 -10t = -50 Divide each side by '-10'. t = 5 Simplifying t = 5
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